3x-12-9=2-x+5

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Solution for 3x-12-9=2-x+5 equation:


Simplifying
3x + -12 + -9 = 2 + -1x + 5

Reorder the terms:
-12 + -9 + 3x = 2 + -1x + 5

Combine like terms: -12 + -9 = -21
-21 + 3x = 2 + -1x + 5

Reorder the terms:
-21 + 3x = 2 + 5 + -1x

Combine like terms: 2 + 5 = 7
-21 + 3x = 7 + -1x

Solving
-21 + 3x = 7 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-21 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
-21 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
-21 + 4x = 7 + 0
-21 + 4x = 7

Add '21' to each side of the equation.
-21 + 21 + 4x = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = 7 + 21
4x = 7 + 21

Combine like terms: 7 + 21 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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